Question

For the YOLO algorithm, assume we have the following two boxes: the lower-right box with the size of 4x6 and the upper-left box with the size of 4x4, and the size of the overlapping region is 2x2. What is the IoU (Intersection over Union) between these two boxes?

Answer 1

The Intersection over Union (IoU) for the two given boxes with an overlapping region of 2x2 is 1/9 or approximately 0.1111.

Step-by-step explanation:

To compute the Intersection over Union (IoU) for the YOLO algorithm, we need to calculate the area of the intersection and the area of the union of the two boxes. The intersection is a region that the two boxes overlap, which in this case is a 2x2 area, resulting in 4 square units. The total area covered by both boxes without double-counting the overlapping region is: the area of the lower-right box (4x6 = 24 square units) plus the area of the upper-left box (4x4 = 16 square units) minus the area of the overlapping region (4 square units). Therefore, the area of the union is 24 + 16 - 4 = 36 square units.

The IoU is then the area of the intersection divided by the area of the union, giving us an IoU of 4/36, which simplifies to 1/9 or approximately 0.1111.